To convert meters to kilometers, you divide the number of meters by 1,000 (since 1 kilometer is equal to 1,000 meters).
Starting with the given value:
\[ 3.875 \times 10^8 \text{ meters} \]
Now, convert meters to kilometers:
\[ \frac{3.875 \times 10^8 \text{ meters}}{1,000} = 3.875 \times 10^8 \times \frac{1}{1,000} = 3.875 \times 10^8 \times 10^{-3} = 3.875 \times 10^{5} \text{ kilometers} \]
Therefore, the converted value is:
\[ \boxed{3.875 \times 10^{5}} \text{ kilometers} \]